An Improved Robust Adaptive Control Design for a Class of Neutral Delay Systems

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The problem of adaptive robust control is addressed for a class of neutral delay systems. All uncertainties are assumed to be bounded by unknown constants. An improved adaptation law is proposed to estimate the square of these unknown bounds. Then, by making use of the updated values of the squared unknown bounds, an adaptive controller is designed to make the solution of the resultant closed-loop system uniformly ultimately bounded. Furthermore, this method avoids chattering and improves the performance. An example is given to illustrate the effectiveness of this method. The problem of adaptive robust control is addressed for a class of neutral delay systems. All been cleared to be bounded by unknown constants. An improved adaptation law is proposed to estimate the square of these unknown bounds. Then, by making use of the updated values ​​of the squared unknown bounds, an adaptive controller is designed to make the solution of the resultant closed-loop system necessarily terminated bounded. Furthermore, this method avoids chattering and improves the performance. An example is given to illustrate the effectiveness of this method.
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